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Finding the Fourth Proportional to 729.02, 1,007.18 and 480.24

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Solution

The fourth proportional to 729.02, 1,007.18 and 480.24 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,007.18 = 480.24 : x
  2. Step 2: Convert to fraction form
    729.02/1,007.18 = 480.24/x
  3. Step 3: Cross multiply
    729.02x = 1,007.18 × 480.24
  4. Step 4: Simplify right side
    729.02x = 483,688.12
  5. Step 5: Solve for x
    x = 483,688.12/729.02
  6. Step 6: Final answer
    x = 663.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.